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A cart loaded with sand moves along a ho...

A cart loaded with sand moves along a horizontal floor due to a constant force `F` coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate `mukg//s.` Find the acceleration and velocity of the cart at the moment `t`, if at the initial moment `t=0` the cart with loaded sand had mass `m_(0)` and its velocity was equal to zero. Friction is to be neglected.

A

`(F)/(m_0 - mu t)`

B

`(m_0 - mu t)/(F)`

C

`(m_0 + mu t)/(F)`

D

`(F)/(m_0 + mu t)`

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The correct Answer is:
A
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